Online GCD Calculator is useful to find the GCD of 802, 114, 308, 300 quickly. Get the easiest ways to solve the greatest common divisor of 802, 114, 308, 300 i.e 2 in different methods as follows.
Given Input numbers are 802, 114, 308, 300
In the factoring method, we have to find the divisors of all numbers
Divisors of 802 :
The positive integer divisors of 802 that completely divides 802 are.
1, 2, 401, 802
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
GCD of numbers is the greatest common divisor
So, the GCD (802, 114, 308, 300) = 2.
Given numbers are 802, 114, 308, 300
The list of prime factors of all numbers are
Prime factors of 802 are 2 x 401
Prime factors of 114 are 2 x 3 x 19
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 802, 114, 308, 300 is 2.
Given numbers are 802, 114, 308, 300
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(802, 114) = 45714
GCD(802, 114) = ( 802 x 114 ) / 45714
= 802 / 114
= 802
Step2:
LCM(2, 308) = 308
GCD(2, 308) = ( 2 x 308 ) / 308
= 2 / 308
= 2
Step3:
LCM(2, 300) = 300
GCD(2, 300) = ( 2 x 300 ) / 300
= 2 / 300
= 2
So, Greatest Common Divisor of 802, 114, 308, 300 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 802, 114, 308, 300
The greatest common divisor of numbers 802, 114, 308, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 802, 114, 308, 300 is 2.
1. What is the GCD of 802, 114, 308, 300?
GCD of given numbers 802, 114, 308, 300 is 2
2. How to calculate the greatest common divisor of 802, 114, 308, 300?
We can find the highest common divisor of 802, 114, 308, 300 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 802, 114, 308, 300 i.e 2.
3. How can I use the GCD of 802, 114, 308, 300Calculator?
Out the numbers 802, 114, 308, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.